Geodesic
Blow up in finite time and dynamics of blow up solutions for the 𝐿²–critical generalized KdV equation
Martel, Yvan 1   ; Merle, Frank 2
1 Département de Mathématiques, Université de Cergy–Pontoise, 2, av. A. Chauvin, 95302 Cergy Pontoise, France
2 Département de Mathématiques, Université de Cergy–Pontoise, 2, av. A. Chauvin, 95302 Cergy Pontoise, France – and – Institut Universitaire de France
Journal of the American Mathematical Society, Tome 15 (2002) no. 3, pp. 617-664 Cet article a éte moissonné depuis la source American Mathematical Society

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In this paper, we describe the dynamics of blow up solutions for the critical generalized KdV equation such that the initial data is close to the soliton in $L^2$ and has decay in $L^2$ at the right. In particular, we prove that blow up occurs in finite time, and we obtain an upper bound on the blow up rate.
DOI : 10.1090/S0894-0347-02-00392-2

Martel, Yvan  1   ; Merle, Frank  2

1 Département de Mathématiques, Université de Cergy–Pontoise, 2, av. A. Chauvin, 95302 Cergy Pontoise, France
2 Département de Mathématiques, Université de Cergy–Pontoise, 2, av. A. Chauvin, 95302 Cergy Pontoise, France – and – Institut Universitaire de France 
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Martel, Yvan; Merle, Frank. Blow up in finite time and dynamics of blow up solutions for the 𝐿²–critical generalized KdV equation. Journal of the American Mathematical Society, Tome 15 (2002) no. 3, pp. 617-664. doi: 10.1090/S0894-0347-02-00392-2

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